The Sylow-2-subgroups of a periodic group with minimal condition on centralizers are locally finite and conjugate. The same holds for the Sylow-p-subgroups for any prime p, provided the subgroups generated by any two p-elements of the group are finite. In the non-periodic context, the bounded left E
Elements in S-groups with trivial centralizers
β Scribed by Seymour Lipschutz
- Publisher
- John Wiley and Sons
- Year
- 1960
- Tongue
- English
- Weight
- 231 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Combining [14, Lemma 3] with [8] it can be proved that the following conditions for a variety V are equivalent: (1) No nontrivial algebra of V has a trivial subalgebra. (2) There exist unary terms 0 1 (w), ..., 0 N (w), 1 1 (w), ..., 1 N (w) such that V< 09 (w)=19 (w) Γ x= y, where 09 =(0 1 , ...,
Investigations concerning the blood groups of Australian aborigines have been made for over 35 years, with the result that the A-B-0 blood groups for natives in most parts of Australia are known. One of us (J.B.C.) demonstrated that unmixed aborigines of South Australia and the Northern Territory di